Gravitational waves, as
predicted by Einstein’s general relativity theory, appear as
ripples in the fabric of spacetime traveling at the speed of light.
We have formally proved that the propagation of small amplitude
gravitational waves in a curved spacetime is equivalent to the
propagation of a subspace of electromagnetic tensor waves. This
subspace can be realized using entangled photon states. We use the
result to propose a path to emulate the propagation of gravitational
waves in curved spacetimes by means of experimental electromagnetic
setups featuring metamaterials.